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Finding the Fourth Proportional to 100,145.32, 138,200.73 and 54,826.12

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Solution

The fourth proportional to 100,145.32, 138,200.73 and 54,826.12 is: 75,660.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,145.32 : 138,200.73 = 54,826.12 : x
  2. Step 2: Convert to fraction form
    100,145.32/138,200.73 = 54,826.12/x
  3. Step 3: Cross multiply
    100,145.32x = 138,200.73 × 54,826.12
  4. Step 4: Simplify right side
    100,145.32x = 7,577,009,807.07
  5. Step 5: Solve for x
    x = 7,577,009,807.07/100,145.32
  6. Step 6: Final answer
    x = 75,660.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.